What is it about?
This work presents the numerical study of supersonic flow over a backward-facing step. Two high-resolution numerical methods – total variation diminishing (TVD) and weighted essentially non-oscillating (WENO) – are investigated and compared in relation to this application, which involves a combination of complex flow structures downstream of the step. The WENO method used in this study is the modified third-order version which minimizes the inherent dissipation of the fifth-order classical WENO.
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Why is it important?
Results have shown that high-order modified WENO scheme predicted better resolution and more accurate results with less number of grid points. However, results predicted by comparatively lower order TVD scheme become smeared due to its dissipative nature – this is particularly manifested by the smearing of shock wave, shriveling of expansion fan, smaller value of leading expansion wave angle and less details within the recirculation region.
Perspectives
High-order approximations of partial derivatives have shown great potential to provide more accurate results as compared to low-order approximations. However, the application of high-order discretization techniques requires more investigation and their performance needs to be explored for practical fluid dynamics problems.
Dr. Ovais U Khan
Tuskegee University
Read the Original
This page is a summary of: High Resolution Numerical Schemes and Supersonic Flow over a Backward-Facing Step, January 2017, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/6.2017-1434.
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